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Slope Compensation in Current Mode Controller

Slope Compensation in Current Mode Controller
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2015-10-10 23:01
FunctionCoordinate GeometryGeometric Construction
This example illustrates the principle of slope compensation in current mode controllers. Key mathematical concepts include linear relationships and proportions. Using GeoGebra commands such as Point, Segment, Line, PolyLine, and Intersect, a geometric model of slope compensation is constructed. Suitable for learners in electrical engineering and control theory.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Segment(A, B) → a
  3. Point(a) → C
  4. Segment(C, D) → b
  5. Point(yAxis) → E
  6. Segment(E, F) → c
  7. Point(a) → G
  8. Point(c) → H
  9. Segment(G, H) → d
  10. Segment(I, J) → e
  11. Point(a) → K
  12. Point(c) → L
  13. Segment(K, L) → f
  14. Point(a) → M
  15. Point(c) → N
  16. Segment(M, N) → g
  17. Point(a) → O
  18. Point(c) → P
  19. Point(a) → Q
  20. Point(c) → S
  21. Segment(Q, S) → i
  22. Point(a) → R
  23. Point(c) → T
  24. Segment(R, T) → j
  25. Segment(B, F) → l
  26. Segment(E, D_1) → r
  27. Segment(E_1, F_1) → s
  28. Line(G_1, s) → a_1
  29. PolyLine(E, W, A_1, D) → n
  30. Intersect(a_1, n) → H_1, I_1
  31. Line(H_1, r) → p
  32. PolyLine(D, C, B_1, H) → q
  33. Intersect(p, b) → J_1
  34. Line(J_1, a_1) → b_1
  35. Intersect(b_1, q) → K_1, L_1
  36. Segment(G_1, H_1) → c_1
  37. Segment(H_1, J_1) → d_1
  38. Segment(J_1, K_1) → e_1
  39. PolyLine(H, G, C_1, J) → f_1
  40. Line(K_1, r) → g_1
  41. Intersect(g_1, d) → M_1
  42. Line(M_1, s) → h_1
  43. Intersect(h_1, f_1) → N_1, O_1
  44. Line(N_1, r) → i_1
  45. Segment(K_1, M_1) → j_1
  46. Segment(M_1, N_1) → k_1
  47. PolyLine(J, I, P_1, L) → l_1
  48. Line(N_1, r) → m_1
  49. Intersect(m_1, e) → Q_1
  50. Line(Q_1, s) → n_1
  51. Intersect(n_1, l_1) → R_1, S_1
  52. Line(R_1, r) → q_1
  53. PolyLine(L, K, T_1, N) → r_1
  54. Intersect(q_1, f) → U_1
  55. Segment(N_1, Q_1) → a_2
  56. Segment(Q_1, R_1) → b_2
  57. Segment(R_1, U_1) → c_2
  58. Line(U_1, s) → h
  59. Intersect(h, r_1) → V_1, W_1
  60. Line(V_1, r) → s_1
  61. Intersect(s_1, g) → Z_1
  62. Intersect(c, g) → A_2
  63. Intersect(a, g) → B_2
  64. Segment(O, P) → t_1
  65. PolyLine(N, M, C_2, P) → d_2
  66. Line(Z_1, s) → e_2
  67. Intersect(e_2, d_2) → D_2, E_2
  68. Segment(U_1, V_1) → f_2
  69. Segment(V_1, Z_1) → g_2
  70. Segment(Z_1, D_2) → h_2
  71. Line(D_2, r) → i_2
  72. PolyLine(P, O, F_2, S) → j_2
  73. Intersect(i_2, t_1) → G_2
  74. Line(G_2, s) → k_2
  75. Intersect(k_2, j_2) → H_2, I_2
  76. Line(H_2, r) → p_1
  77. PolyLine(S, Q, J_2, T) → l_2
  78. Intersect(p_1, i) → K_2
  79. Line(K_2, s) → m_2
  80. Intersect(m_2, l_2) → L_2, M_2
  81. Line(L_2, r) → n_2
  82. PolyLine(T, R, N_2, V) → p_2
  83. Segment(D_2, G_2) → a_3
  84. Segment(G_2, H_2) → b_3
  85. Segment(H_2, K_2) → c_3
  86. Segment(K_2, L_2) → d_3
  87. Line(L_2, r) → k
  88. Intersect(k, j) → Q_2
  89. Line(Q_2, s) → q_2
  90. Intersect(q_2, p_2) → R_2, S_2
  91. Line(R_2, r) → r_2
  92. Segment(L_2, Q_2) → m
  93. Segment(Q_2, R_2) → s_2
  94. PolyLine(V, U, U_2, F) → f_3
  95. Intersect(r_2, f_3) → Z, T_2
  96. Line(T_2, s) → g_3
  97. Intersect(g_3, f_3) → V_2, W_2
  98. Line(V_2, r) → h_3
  99. Intersect(h_3, l) → Z_2
  100. Segment(R_2, T_2) → k_3
  101. Segment(T_2, V_2) → l_3
  102. Segment(V_2, Z_2) → m_3
  103. PolyLine(W, A_1, M, C_2, O, F_2, Q, J_2, R, N_2, U, U_2, C, B, B_1, G, C_1, I, P_1, K, T_1) → n_3